It is encouraging to see your heart to point others to salvation through Jesus Christ, and the passage you shared is the very center of the gospel. Romans 10:9 and 10 teaches that if you confess with your mouth that Jesus is Lord and believe in your heart that God raised Him from the dead, you will be saved. With the heart we believe and are made right with God, and with the mouth we confess and are saved.
Scripture is clear that this righteousness does not come by our own efforts or by keeping the law. We are saved by grace through faith, and that faith itself is a gift of God, not something we earn. Just as Abraham was counted righteous because he believed God, so we are counted righteous when we put our trust in Jesus Christ. We receive the Holy Spirit and new life not by works, but by hearing with faith and receiving what God has promised.
You also mentioned confessing and turning from sin and following Jesus in obedience, and that is important to understand rightly. Obedience and a changed life do not add to faith to make salvation complete, and they can never earn it. Rather, a true and living faith will show itself in a changed life. The apostle Paul teaches that we are justified by faith alone, and James shows us the kind of faith that justifies. It is a faith that produces fruit. To simply say we have faith without any evidence in how we live is not a saving faith, for even the demons believe in that sense. True faith works, and it will be seen in repentance, in the fruit of the Spirit, and in a desire to obey Jesus. Those works are not the price of salvation but the proof of it.
Faith is the substance of things hoped for and the evidence of things not seen, and without faith it is impossible to please God. That faith does not rest on feelings, but on the sure promise of God. It is a faith that grows over time as we walk with Him and learn His faithfulness. God graciously uses imperfect people, and He does not cast us away when our faith falters, but He calls us to keep trusting Him. That trust, with patience, is how we receive what He has promised.
Your encouragement to read Matthew, Mark, Luke and John, beginning with John, is wise counsel. John so clearly presents who Jesus is, that He is the Son of God who came to give eternal life to all who believe in Him. As you and others read, ask God to help you know Christ more deeply, to believe His word fully, and to let that belief shape your life in daily obedience. Salvation is found in Jesus alone, and when we truly trust Him as Lord, He gives us a new heart that wants to follow Him.